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Finding the Third Proportional to 34,338.94 and 67,128.75

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Solution

The third proportional to 34,338.94 and 67,128.75 is: 131,229.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,338.94 : 67,128.75 = 67,128.75 : x
  2. Step 2: Convert to fraction form
    34,338.94/67,128.75 = 67,128.75/x
  3. Step 3: Cross multiply
    34,338.94x = 67,128.75 × 67,128.75
  4. Step 4: Simplify right side
    34,338.94x = 4,506,269,076.56
  5. Step 5: Solve for x
    x = 4,506,269,076.56/34,338.94
  6. Step 6: Final answer
    x = 131,229.14

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.